Integral Normal Bases in Galois Extensions of Local Fields
Integral Normal Bases in Galois Extensions of Local Fields
复制标题
局部域伽罗瓦扩张中的积分正规基
作者：
S. Ullom
本文中F表示关于离散赋值完备的域，kF表示F的剩余域，K/F表示有限Galois扩张，Galois群G = G（K/F）. K的整数环0 K包含（唯一）素理想;所有整数n的理想集合n是模糊理想，即G-模。
Throughout this paper F denotes a field complete with respect to a discrete valuation, kF the residue field of F, K/F a finite Galois extension with Galois group G = G(K/F). The ring of integers 0K of K contains the (unique) prime ideal ; the collection of ideals n for all integers n are ambiguous ideals i.e. G-modules.